Geodesic
Differential inclusions with mean derivatives, having aspherical right-hand sides
Čebyševskij sbornik, Tome 21 (2020) no. 2, pp. 84-93

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On flat $ n $-dimensional torus we study stochastic differential inclusions with mean derivatives, for which the right-hand sides have, generally speaking, not convex (aspherical) values. A subclass of such inclusions is distinguished for which there exists a sequence of $\varepsilon$-approximations, converging point-wise to a Borel measurable selector. On this base a solution existence theorem is obtained.
Keywords: mean derivatives, differential inclusions, aspherical right-hand sides, point-wise convergence, solution existence. 
@article{CHEB_2020_21_2_a7,
     author = {Yu. E. Gliklikh},
     title = {Differential inclusions with mean derivatives, having aspherical right-hand sides},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {84--93},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2020_21_2_a7/}
}
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Yu. E. Gliklikh. Differential inclusions with mean derivatives, having aspherical right-hand sides. Čebyševskij sbornik, Tome 21 (2020) no. 2, pp. 84-93. http://geodesic.mathdoc.fr/item/CHEB_2020_21_2_a7/